Molnár, Tamás G. and Singletary, Andrew W. and Orosz, Gábor and Ames, Aaron D. (2021) Safety-Critical Control of Compartmental Epidemiological Models with Measurement Delays. IEEE Control Systems Letters, 5 (5). pp. 1537-1542. ISSN 2475-1456. doi:10.1109/LCSYS.2020.3040948. https://resolver.caltech.edu/CaltechAUTHORS:20201109-140935453
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Abstract
We introduce a methodology to guarantee safety against the spread of infectious diseases by viewing epidemiological models as control systems and human interventions (such as quarantining or social distancing) as control input. We consider a generalized compartmental model that represents the form of the most popular epidemiological models and we design safety-critical controllers that formally guarantee safe evolution with respect to keeping certain populations of interest under prescribed safe limits. Furthermore, we discuss how measurement delays originated from incubation period and testing delays affect safety and how delays can be compensated via predictor feedback. We demonstrate our results by synthesizing active intervention policies that bound the number of infections, hospitalizations and deaths for epidemiological models capturing the spread of COVID-19 in the USA.
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| Additional Information: | © 2020 IEEE. Manuscript received September 14, 2020; revised November 16, 2020; accepted November 24, 2020. Date of publication November 26, 2020; date of current version December 22, 2020. This work was supported in part by the National Science Foundation, CPS Award 1932091. Recommended by Senior Editor S. Tarbouriech. The authors would like to thank Franca Hoffmann and Gábor Stépán for the valuable discussions on this topic. | ||||||||||||
| Group: | COVID-19 | ||||||||||||
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| Subject Keywords: | COVID-19, epidemiology, safety-critical control, time delay | ||||||||||||
| Issue or Number: | 5 | ||||||||||||
| DOI: | 10.1109/LCSYS.2020.3040948 | ||||||||||||
| Record Number: | CaltechAUTHORS:20201109-140935453 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20201109-140935453 | ||||||||||||
| Official Citation: | T. G. Molnár, A. W. Singletary, G. Orosz and A. D. Ames, "Safety-Critical Control of Compartmental Epidemiological Models With Measurement Delays," in IEEE Control Systems Letters, vol. 5, no. 5, pp. 1537-1542, Nov. 2021, doi: 10.1109/LCSYS.2020.3040948 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 106550 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | George Porter | ||||||||||||
| Deposited On: | 09 Nov 2020 23:44 | ||||||||||||
| Last Modified: | 16 Nov 2021 18:54 |
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